Identify the slope and the y-intercept of the equation 4x - 3y = 12
the slope is 4, and the y-intercept is (0, 12)
the slope is 4/3, and the y-intercept is (0, 4)
the slope is 4/3, and the y-intercept is (0, -4)
the slope is -4/3, and the y-intercept is (0, 4)
To identify the slope and the y-intercept of the equation 4x - 3y = 12, we first need to rearrange the equation into slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation:
4x - 3y = 12
Subtract 4x from both sides:
-3y = -4x + 12
Divide by -3 to isolate y:
y = 4/3 x - 4
Therefore, the slope of the equation is 4/3 and the y-intercept is (0, -4).
So the correct answer is:
- the slope is 4/3, and the y-intercept is (0, -4)